拒绝服务攻击下网络随机系统的弹性混合触发控制

Q4 Mathematics Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications Pub Date : 2021-01-01 DOI:10.56082/annalsarscimath.2022.1-2.122

N. Zhao, Huiyan Zhang, Peng Shi

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引用次数: 0

摘要

研究了随机网络控制系统在周期性拒绝服务(DoS)干扰下的镇定问题。首先，为了减少网络传输数据量和提高利用效率，提出了弹性混合触发通信方案，并利用伯努利分布描述了时间触发和事件触发之间的切换协议。然后，设计了一种弹性混合驱动控制协议，构造了一个新的切换随机系统。给出了底层系统在DoS攻击下均方指数稳定性的充分条件。通过求解线性矩阵不等式，得到了反馈增益与混合触发参数的协同设计方案。最后，以一个卫星控制系统为例，说明了该方法的优越性和适用性。

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RESILIENT HYBRID-TRIGGERED CONTROL FOR NETWORKED STOCHASTIC SYSTEMS UNDER DENIAL-OF-SERVICE ATTACKS

This paper investigates the stabilization problem for stochastic net-worked control systems under periodic denial-of-service (DoS) jammingattacks. First, the resilient hybrid-triggered communication scheme isdeveloped to reduce the network transmission data and improve theutilization eﬃciency, where a Bernoulli distribution is used to charac-terize the switching protocol between time-triggered scheme and event-triggered scheme. Then, a resilient hybrid-driven control protocol isdesigned, and a new switched stochastic system is constructed. Suﬃ-cient conditions of the mean-square exponential stability are derivedfor the underlying system under DoS attacks. Furthermore, a co-designscheme of the feedback gain and the hybrid-triggering parameter is ob-tained by solving linear matrix inequalities. Finally, a satellite controlsystem is employed to illustrate the virtue and applicability of the pro-posed approach.

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来源期刊

Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications Mathematics-Mathematics (all)

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

25 weeks

期刊介绍： The journal Mathematics and Its Applications is part of the Annals of the Academy of Romanian Scientists (ARS), in which several series are published. Although the Academy is almost one century old, due to the historical conditions after WW2 in Eastern Europe, it is just starting with 2006 that the Annals are published. The Editor-in-Chief of the Annals is the President of ARS, Prof. Dr. V. Candea and Academician A.E. Sandulescu (†) is his deputy for this domain. Mathematics and Its Applications invites publication of contributed papers, short notes, survey articles and reviews, with a novel and correct content, in any area of mathematics and its applications. Short notes are published with priority on the recommendation of one of the members of the Editorial Board and should be 3-6 pages long. They may not include proofs, but supplementary materials supporting all the statements are required and will be archivated. The authors are encouraged to publish the extended version of the short note, elsewhere. All received articles will be submitted to a blind peer review process. Mathematics and Its Applications has an Open Access policy: all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles in this journal without asking prior permission from the publisher or the author. No submission or processing fees are required. Targeted topics include : Ordinary and partial differential equations Optimization, optimal control and design Numerical Analysis and scientific computing Algebraic, topological and differential structures Probability and statistics Algebraic and differential geometry Mathematical modelling in mechanics and engineering sciences Mathematical economy and game theory Mathematical physics and applications.